30115828314000 has 960 divisors, whose sum is σ = 123871437720576. Its totient is φ = 6722956800000.

The previous prime is 30115828313939. The next prime is 30115828314059. The reversal of 30115828314000 is 41382851103.

30115828314000 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 582 + 8 + 31 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1083640105 + ... + 1083667895.

Almost surely, 2^{30115828314000} is an apocalyptic number.

30115828314000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30115828314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61935718860288).

30115828314000 is an abundant number, since it is smaller than the sum of its proper divisors (93755609406576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30115828314000 is a wasteful number, since it uses less digits than its factorization.

30115828314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28265 (or 28246 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 30115828314000 in words is "thirty trillion, one hundred fifteen billion, eight hundred twenty-eight million, three hundred fourteen thousand".